Answer
$[-2,\dfrac{9}{2}]$
Work Step by Step
Given: $|5-4x| \leq 13$
As per definition of absolute value, we can write this as:
or, $-13 \leq 5-4x \leq 13$
or,$-13 -5\leq -4x \leq 13-5$
or, $-18 \leq -4x \leq 8$
This implies that: $\dfrac{9}{2}\geq x\geq -2$
Hence, $[-2,\dfrac{9}{2}]$
